Math Problem Statement

Complete the ratio table.

Solution

The table you've uploaded appears to show a ratio relationship between two sets of values. We need to find the missing values based on the pattern. Here's the given data:

  • 12 corresponds to 1
  • 24 corresponds to 2
  • 36 corresponds to 3
  • 60 corresponds to an unknown value
  • 96 corresponds to an unknown value

To solve this, we need to identify the relationship between the numbers in the first column and the second column.

From the table:

  • 12 → 1
  • 24 → 2
  • 36 → 3

It seems that the numbers in the second column are increasing by 1 as the numbers in the first column increase. We can check the ratio:

  • 12 ÷ 12 = 1
  • 24 ÷ 12 = 2
  • 36 ÷ 12 = 3

So, the pattern seems to be that each number in the second column is the first column number divided by 12.

Now, applying this logic:

  • For 60: 60÷12=560 ÷ 12 = 5
  • For 96: 96÷12=896 ÷ 12 = 8

So, the completed table is:

  • 12 → 1
  • 24 → 2
  • 36 → 3
  • 60 → 5
  • 96 → 8

Would you like to dive deeper into the concept of ratios, or is there anything else you would like clarification on?

Here are some related questions:

  1. How do ratios apply in real-life situations?
  2. What is the difference between direct and inverse proportions?
  3. How can you simplify ratios?
  4. How do you solve for missing values in proportion problems?
  5. What are equivalent ratios and how do you find them?

Tip: Always double-check your units when working with ratios to make sure they are consistent across the table.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Basic Arithmetic

Formulas

a / b = x / y (proportions)

Theorems

Cross multiplication to solve for unknown values in proportions

Suitable Grade Level

Grades 6-8